Cheng maximal diameter theorem for hypergraphs
Yu Kitabeppu, Erina Matsumoto
TL;DR
This paper extends Cheng's maximal diameter theorem to hypergraphs with positive coarse Ricci curvature, providing new insights into their geometric properties.
Contribution
It introduces a generalized version of Cheng's diameter theorem applicable to hypergraphs with positive coarse Ricci curvature.
Findings
Proves the diameter bound for hypergraphs with positive coarse Ricci curvature
Establishes geometric properties of hypergraphs under curvature conditions
Provides a theoretical framework for hypergraph diameter analysis
Abstract
We prove that Cheng maximal diameter theorem for hypergraphs with positive coarse Ricci curvature.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities